In how many ways in cricket, eleven players be chosen out of 14 players? Option 1: 128 Option 2: 256 Option 3: 364 Option 4: 720

Answer: 364. Solution: Order does not matter, so we need ^14C_11 = ^14C_3. ^14C_3 = (14 x 13 x 12)/(3 x 2 x 1) = 364.

Quantitative Reasoning

Permutation & Combination

Easy

In how many ways in cricket, eleven players be chosen out of 14 players?

128

256

364

720

✅ Correct Option: 3

Order does not matter, so we need $^{14}C_{11} = {}^{14}C_{3}$ .

$^{14}C_{3} = \dfrac{14 \times 13 \times 12}{3 \times 2 \times 1} = 364$ .

2025: 14 May Shift 1

There is a match between two teams. Each team has a total of 15 players. After the match, all the players of one team shake hands with all the players of the other team. What is the number of possible hand shakes?

2025: 15 May Shift 1

Read the information given below carefully and answer the question that follows:

(A) The different ways in which the alphabets of the word BAKERY can be arranged is 720

(B) The number of ways in which the alphabets of the word MACHINE can be arranged so that the vowels will occupy only the odd positions is 576

Choose the correct answer from the options given below:

2025: 19 May Shift 2

In a team every player shakes his hand with other player only once. If total number of handshakes is 120, then the number of players is:

2026: 29 May Shift 2

In how many ways can the letters of the word 'MOMENT' be arranged?

2025: 29 May Shift 2

In how many different ways can the letters of the word 'OFFICE' be arranged so that the vowels never come together?

2026: 19 May Shift 2

A committee of 5 members is to be formed by selecting out of 6 men and 4 women. In how many different ways the committee can be formed if it should have at least 2 women?

In how many ways in cricket, eleven players be chosen out of 14 players?

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