Quantitative Reasoning

Permutation & Combination

Medium

How many 3-digit even numbers can be formed by using the digits 1 to 9 if no digit is repeated ?

224

288

504

✅ Correct Option: 2

Unit digit must be even: 2, 4, 6, 8 - 4 choices.

After choosing unit digit, 8 digits remain for hundreds place, then 7 for tens.

Total = $4 \times 8 \times 7 = 224$ .

2026: 29 May Shift 1

In how many different ways can the word VICTORY be written ?

2026: 25 May Shift 1

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

2025: 27 May Shift 2

How many ways, can the letters of the word 'QUANTITATIVE' be arranged, so that all T are together?

2026: 20 May Shift 1

In how many different ways, can the letters of words OPTICAL be arranged so that the vowels are never together?

2026: 21 May Shift 2

In how many ways can 4 boys and 3 girls be seated in a row if girls must sit together?

2025: 13 May Shift 1

Match List-I with List-II

Choose the correct answer from the options given below:

Solution